2032517840896 has 51 divisors (see below), whose sum is σ = 4065734733501. Its totient is φ = 1016076435456.

The previous prime is 2032517840869. The next prime is 2032517840909. The reversal of 2032517840896 is 6980487152302.

The square root of 2032517840896 is 1425664.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 367798583296 + 1664719257600 = 606464^2 + 1290240^2 .

It is a super-2 number, since 2×2032517840896² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 364967200 + ... + 364972768.

It is a 2-persistent number, because it is pandigital, and so is 2⋅2032517840896 = 4065035681792, but 3⋅2032517840896 = 6097553522688 is not.

Almost surely, 2^{2032517840896} is an apocalyptic number.

2032517840896 is the 1425664-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2032517840896

2032517840896 is an abundant number, since it is smaller than the sum of its proper divisors (2033216892605).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2032517840896 is an frugal number, since it uses more digits than its factorization.

2032517840896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11170 (or 5571 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 55.

The spelling of 2032517840896 in words is "two trillion, thirty-two billion, five hundred seventeen million, eight hundred forty thousand, eight hundred ninety-six".